K13a2520

Knot presentations

Dowker-Thistlethwaite code

4 12 20 24 18 14 2 22 6 10 26 8 16

Notes on presentations of K13a2520

Polynomial invariants

Jones polynomial	Data:K13a2520/Jones Polynomial
Alexander polynomial	$-8t^{3}+40t^{2}-86t+109-86t^{-1}+40t^{-2}-8t^{-3}$
Conway polynomial	Data:K13a2520/Conway Polynomial
Determinant	377
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-4}-4z^{6}a^{-6}-3z^{6}a^{-8}+z^{4}a^{-2}+2z^{4}a^{-4}-9z^{4}a^{-6}-6z^{4}a^{-8}+4z^{4}a^{-10}+z^{2}a^{-2}+7z^{2}a^{-4}-7z^{2}a^{-6}-5z^{2}a^{-8}+7z^{2}a^{-10}-z^{2}a^{-12}+4a^{-4}-3a^{-6}-2a^{-8}+3a^{-10}-a^{-12}$
Kauffman polynomial	$3z^{12}a^{-8}+3z^{12}a^{-10}+10z^{11}a^{-7}+20z^{11}a^{-9}+10z^{11}a^{-11}+15z^{10}a^{-6}+27z^{10}a^{-8}+26z^{10}a^{-10}+14z^{10}a^{-12}+15z^{9}a^{-5}+5z^{9}a^{-7}-24z^{9}a^{-9}-3z^{9}a^{-11}+11z^{9}a^{-13}+10z^{8}a^{-4}-14z^{8}a^{-6}-66z^{8}a^{-8}-76z^{8}a^{-10}-29z^{8}a^{-12}+5z^{8}a^{-14}+4z^{7}a^{-3}-25z^{7}a^{-5}-33z^{7}a^{-7}-11z^{7}a^{-9}-35z^{7}a^{-11}-27z^{7}a^{-13}+z^{7}a^{-15}+z^{6}a^{-2}-19z^{6}a^{-4}-13z^{6}a^{-6}+54z^{6}a^{-8}+73z^{6}a^{-10}+14z^{6}a^{-12}-12z^{6}a^{-14}-6z^{5}a^{-3}+17z^{5}a^{-5}+21z^{5}a^{-7}+16z^{5}a^{-9}+40z^{5}a^{-11}+20z^{5}a^{-13}-2z^{5}a^{-15}-2z^{4}a^{-2}+19z^{4}a^{-4}+29z^{4}a^{-6}-26z^{4}a^{-8}-42z^{4}a^{-10}+8z^{4}a^{-14}+2z^{3}a^{-3}-2z^{3}a^{-5}+4z^{3}a^{-7}-3z^{3}a^{-9}-17z^{3}a^{-11}-5z^{3}a^{-13}+z^{3}a^{-15}+z^{2}a^{-2}-13z^{2}a^{-4}-16z^{2}a^{-6}+11z^{2}a^{-8}+15z^{2}a^{-10}+z^{2}a^{-12}-z^{2}a^{-14}-3za^{-5}-4za^{-7}+2za^{-11}+za^{-13}+4a^{-4}+3a^{-6}-2a^{-8}-3a^{-10}-a^{-12}$

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